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This article is cited in 1 scientific paper (total in 1 paper)
On Some Classes of Bases in Finite-Dimensional Lie Algebras
V. V. Gorbatsevich
Abstract:
In the paper, Lie algebras having bases of a special form (nice and beautiful bases) are considered. For nice bases, it is proved that, in a chosen nilpotent Lie algebra, their number (up to equivalence) is finite. For some Lie algebras of low dimension, it is shown that, when passing from a complex Lie algebra to its realification, the property to have a beautiful basis is lost.
Keywords:
Lie algebra, nice basis, equivalent bases.
Received: 27.09.2022 Revised: 22.12.2022
Citation:
V. V. Gorbatsevich, “On Some Classes of Bases in Finite-Dimensional Lie Algebras”, Mat. Zametki, 114:2 (2023), 203–211; Math. Notes, 114:2 (2023), 165–171
Linking options:
https://www.mathnet.ru/eng/mzm13741https://doi.org/10.4213/mzm13741 https://www.mathnet.ru/eng/mzm/v114/i2/p203
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